GCD of 936, 300, 55, 271 Calculator

Given Input numbers are 936, 300, 55, 271

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 936, 300, 55, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 300, 55, 271 is 1.

Therefore, GCD of numbers 936, 300, 55, 271 is 1

Given Input Data is 936, 300, 55, 271

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 55 is 5 x 11

Prime Factorization of 271 is 271

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(936, 300) = 23400

GCD(936, 300) = ( 936 x 300 ) / 23400

GCD(936, 300) = 280800 / 23400

GCD(936, 300) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 55

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 55) = 660

GCD(12, 55) = ( 12 x 55 ) / 660

GCD(12, 55) = 660 / 660

GCD(12, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 936, 300, 55, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 281, 64, 817
• GCD of 376, 984, 46, 509
• GCD of 399, 953, 56, 104
• GCD of 723, 980, 52, 270
• GCD of 627, 884, 61, 576

1. What is the GCD of 936, 300, 55, 271?

GCD of 936, 300, 55, 271 is 1

2. Where do I get the detailed procedure to find GCD of 936, 300, 55, 271?

You can find a detailed procedure to find GCD of 936, 300, 55, 271 on our page.

3. How to find GCD of 936, 300, 55, 271 on a calculator?

You can find the GCD of 936, 300, 55, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.